X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/0e89568975a5817dbb5a2752403d9b8d82046445..c65df27983057ec76ed0e72bb370f9a5ae7dad28:/mp-jacobi.c diff --git a/mp-jacobi.c b/mp-jacobi.c index 2a1e109..2562342 100644 --- a/mp-jacobi.c +++ b/mp-jacobi.c @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: mp-jacobi.c,v 1.2 1999/12/10 23:19:02 mdw Exp $ + * $Id: mp-jacobi.c,v 1.5 2004/04/08 01:36:15 mdw Exp $ * * Compute Jacobi symbol * @@ -27,17 +27,6 @@ * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: mp-jacobi.c,v $ - * Revision 1.2 1999/12/10 23:19:02 mdw - * Improve error-checking. - * - * Revision 1.1 1999/11/22 20:50:37 mdw - * Add support for computing Jacobi symbols. - * - */ - /*----- Header files ------------------------------------------------------*/ #include "mp.h" @@ -61,6 +50,8 @@ int mp_jacobi(mp *a, mp *n) { int s = 1; + assert(((void)"n must be odd in mp_jacobi", MP_LEN(n) && (n->v[0] & 1))); + /* --- Take copies of the arguments --- */ a = MP_COPY(a); @@ -69,47 +60,27 @@ int mp_jacobi(mp *a, mp *n) /* --- Main recursive mess, flattened out into something nice --- */ for (;;) { + mpw nn; + size_t e; /* --- Some simple special cases --- */ MP_SHRINK(a); - if (MP_LEN(a) == 0) { s = 0; goto done; } - /* --- Find the power-of-two factor in @a@ --- */ - - { - mpscan sc; - mpw nn; - unsigned e; - - /* --- Scan for a set bit --- */ + /* --- Main case with powers of two --- */ - MP_SCAN(&sc, a); - e = 0; - while (MP_STEP(&sc) && !MP_BIT(&sc)) - e++; - - /* --- Do the shift --- */ - - if (e) - a = mp_lsr(a, a, e); - - /* --- Maybe adjust the sign of @s@ --- */ - - nn = n->v[0] & 7; - if ((e & 1) && (nn == 3 || nn == 5)) - s = -s; - - if (MP_LEN(a) == 1 && a->v[0] == 1) - goto done; - - if ((nn & 3) == 3 && (a->v[0] & 3) == 3) - s = -s; - } + a = mp_odd(a, a, &e); + nn = n->v[0] & 7; + if ((e & 1) && (nn == 3 || nn == 5)) + s = -s; + if (MP_LEN(a) == 1 && a->v[0] == 1) + goto done; + if ((nn & 3) == 3 && (a->v[0] & 3) == 3) + s = -s; /* --- Reduce and swap --- */